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Finding the Third Proportional to 4,247,451,538 and 5,905,741,854

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Solution

The third proportional to 4,247,451,538 and 5,905,741,854 is: 8,211,461,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247,451,538 : 5,905,741,854 = 5,905,741,854 : x
  2. Step 2: Convert to fraction form
    4,247,451,538/5,905,741,854 = 5,905,741,854/x
  3. Step 3: Cross multiply
    4,247,451,538x = 5,905,741,854 × 5,905,741,854
  4. Step 4: Simplify right side
    4,247,451,538x = 34,877,786,846,087,356,416
  5. Step 5: Solve for x
    x = 34,877,786,846,087,356,416/4,247,451,538
  6. Step 6: Final answer
    x = 8,211,461,987.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.